BBA

Admissions will be made on the basis of the scores in class XII, XI and X, performance in curricular and extracurricular activities, essay and personal interview.

Chances seem low, although you should still give a try and wait for the results, you never know you may get in.

Placements assistance and recruiting companies have been very good and huge in numbers and has good deal of MoU with other colleges.
https://www.shiksha.com/getListingDetail/3082/institute/college-Jamia-Hamdard-University-Jhu-Delhi-Delhi-India

You shall be given a list of books and accordingly paper patterns is set, follow books recommended by your teachers.

All the bschools don't conduct written entrances, in some you simply need to clear their GD/PI round. Below are some of the top colleges for BBA and their mode of admission:
Symbiosis- SET BBA
St. Xavier's College, Mumbai- St. Xavier's College BMS Entrance Test
University of Petroleum & Energy Studies, Dehradun - Through GD/PI
University of Technology & Management, Shillong- Through GD/PI
Delhi College of Advanced Studies- GGSIPU CET BBA Test
Hope this information helps. Good luck :)

Dear Mayank Sharma,
Try to join at Prestige Institute of Management. It has got good brand image, infrastructure and some good placement records too.
All the best.

Both BBA and BBM are similar degree courses with minor difference in elective & syllabus among various colleges. Scope of both the degrees is same. You may chose institute over name of degree for better career prospects.

Sahil, this rank is for which test, which state. Your query is not complete. Some of the best universities in the country offering BBA and are having good placement record too are Sharda, Lovely, Manipal etc. Some of these universities also offer scholarships to meritorious students. You can check their websites for more details.
Good luck.